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Finding the Fourth Proportional to 56,154.40, 84,226.72 and 22,878

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Solution

The fourth proportional to 56,154.40, 84,226.72 and 22,878 is: 34,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,154.40 : 84,226.72 = 22,878 : x
  2. Step 2: Convert to fraction form
    56,154.40/84,226.72 = 22,878/x
  3. Step 3: Cross multiply
    56,154.40x = 84,226.72 × 22,878
  4. Step 4: Simplify right side
    56,154.40x = 1,926,938,900.16
  5. Step 5: Solve for x
    x = 1,926,938,900.16/56,154.40
  6. Step 6: Final answer
    x = 34,315.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.